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Zina [86]
3 years ago
7

-4)^{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
laiz [17]3 years ago
4 0

Solution:

Given Expression is ( √6 - 4 )².

Step : Break down into the form of ( a - b ) ²

Step : Arrange it , in the form of Quadratic Polynomial / Expression .

Step : Spilt it into two parts :

___________________________________

( √6 - 4 )²

☞ ( √6 - 4)(√6-4)

☞ √6(√6 - 4) - 4(√6-4)

☞ 6 - 4√6 - 4√6 + 16

☞ 6 - 8√6 + 16

☞ 22 - 8√6

Therefore, Answer is 22 - 8√6

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Help on both please ! Im a new student at this school and didn't learn this
larisa86 [58]
For the first one, you have to convert the fractions to an improper fraction. To do that you need to multiply the bottom denominator number (3) by the whole number (1) then you need to add the numinator, so 3x1+2= 5. You have to keep the denominator so 1 2/3 is equal to 5/3. Then do the same to 2 1/5, and you get 11/5. Now you have to find a common denominator, that's basically the smallest number that both numbers can go Into, the lowest common denominator for 3 and 5 is 15. So 3x5= 15, so we have to multiply the top number by 5 which is 25. So 5/3 is equal to 25/15, then 5x3= 15, so you need to multiply 11 by 3 which is 33. So 11/5 is equal to 33/15. Then you add them. Add the numinators (25+33=58. Then you keep the denominator 15. So when u add it it's 58/15 then you need to simplify that and you get 3 13/15.

The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3


Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check
5 0
3 years ago
Joe is 1.6m tall. His shadow is 2m long when he stands 3m from the base of a floodlight.height1.6 m2m3mWhat is the height of the
alexdok [17]
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight. 

First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:

1.6 / 2 = x / (2 +3)

where x is the height of the flood light

solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
6 0
3 years ago
6) A bag contains 4 red marbles, 3 green, 5 blue. Someone offers you a game : If you pick red marble you win $4, if blue loose $
fomenos

Answer:

11

Step-by-step explanation:

i just need 11 more than ill be fine

3 0
3 years ago
Someone please answer number 7 and number 8
JulsSmile [24]

Answer:

the answer for 7 is 36 and the answer for 8 is 127

4 0
3 years ago
Work out the volume of this prism?
qaws [65]

Answer:

V = 300 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the base and h the height )

Here A = 15 and h = 20 , then

V = 15 × 20 = 300 cm³

4 0
3 years ago
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